Question
Myrna is buying a new rug for her living room. It is split into 3 panels, as shown in the diagram. What is the area of the rug, in square feet?
A large rectangle that is split into 3 smaller rectangles that measure 5 feet by 6 feet, 3 feet by 6 feet, and 6 feet by 8 feet.
40 ft2
48 ft2
80 ft2
96 ft2
A large rectangle that is split into 3 smaller rectangles that measure 5 feet by 6 feet, 3 feet by 6 feet, and 6 feet by 8 feet.
40 ft2
48 ft2
80 ft2
96 ft2
Answers
GPT-4o mini
To find the area of the rug, we need to calculate the area of each of the three smaller rectangles and then sum those areas.
1. **Area of the first rectangle:**
Dimensions: 5 feet by 6 feet
Area = 5 ft × 6 ft = 30 ft²
2. **Area of the second rectangle:**
Dimensions: 3 feet by 6 feet
Area = 3 ft × 6 ft = 18 ft²
3. **Area of the third rectangle:**
Dimensions: 6 feet by 8 feet
Area = 6 ft × 8 ft = 48 ft²
Now we will sum the areas of the three rectangles:
Total area = Area of first rectangle + Area of second rectangle + Area of third rectangle
Total area = 30 ft² + 18 ft² + 48 ft² = 96 ft²
Therefore, the area of the rug is **96 square feet**.
1. **Area of the first rectangle:**
Dimensions: 5 feet by 6 feet
Area = 5 ft × 6 ft = 30 ft²
2. **Area of the second rectangle:**
Dimensions: 3 feet by 6 feet
Area = 3 ft × 6 ft = 18 ft²
3. **Area of the third rectangle:**
Dimensions: 6 feet by 8 feet
Area = 6 ft × 8 ft = 48 ft²
Now we will sum the areas of the three rectangles:
Total area = Area of first rectangle + Area of second rectangle + Area of third rectangle
Total area = 30 ft² + 18 ft² + 48 ft² = 96 ft²
Therefore, the area of the rug is **96 square feet**.